To solve the problem of finding the shaded area (assuming the figure consists of a square with side length 4 and an external semicircle attached to one side), follow these steps:

Step 1: Calculate the area of the square

The side length of the square is 4.
Area of square = side² = (4^2 = 16).

Step 2: Calculate the area of the semicircle

The semicircle has a diameter equal to the side of the square (4), so its radius (r = 4/2 = 2).
Area of semicircle = (\frac{1}{2} \times \pi r^2 = \frac{1}{2} \times \pi \times 2^2 = 2\pi \approx 6.28).

Step 3: Total shaded area

Shaded area = Area of square + Area of semicircle = (16 + 2\pi \approx 16 + 6.28 = 22.28).

Exact answer: (16 + 2\pi)
Approximate answer: (\boxed{22.3}) (rounded to one decimal place) or (\boxed{22}) (rounded to integer).

Assuming the problem expects an approximate numerical value, the most common result is:

(\boxed{22}) (or (\boxed{22.3}) if more precision is needed).

But if exact form is required: (\boxed{16 + 2\pi}).

Given typical problem expectations, the answer is likely (\boxed{22}).

Final Answer: (\boxed{22})

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